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132211120211220 = 223567163201768947
BaseRepresentation
bin11110000011111011001100…
…110110110000010100010100
3122100010021000021210002021010
4132003323030312300110110
5114312121333233224340
61145104541121452220
736563636544330441
oct3603731466602424
9570107007702233
10132211120211220
113914346a693516
12129b34987a1070
1358a05bbc3215b
1424910a39729c8
1510441abdd2b80
hex783eccdb0514

132211120211220 has 96 divisors (see below), whose sum is σ = 378021387760128. Its totient is φ = 34517017130112.

The previous prime is 132211120211201. The next prime is 132211120211221. The reversal of 132211120211220 is 22112021112231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211120211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100229214 + ... + 101539733.

It is an arithmetic number, because the mean of its divisors is an integer number (3937722789168).

Almost surely, 2132211120211220 is an apocalyptic number.

132211120211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132211120211220 is an abundant number, since it is smaller than the sum of its proper divisors (245810267548908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132211120211220 is a wasteful number, since it uses less digits than its factorization.

132211120211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201769189 (or 201769187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 132211120211220 its reverse (22112021112231), we get a palindrome (154323141323451).

The spelling of 132211120211220 in words is "one hundred thirty-two trillion, two hundred eleven billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 163 201 268 326 335 402 489 652 670 804 815 978 1005 1340 1630 1956 2010 2445 3260 4020 4890 9780 10921 21842 32763 43684 54605 65526 109210 131052 163815 218420 327630 655260 201768947 403537894 605306841 807075788 1008844735 1210613682 2017689470 2421227364 3026534205 4035378940 6053068410 12106136820 13518519449 27037038898 32888338361 40555558347 54074077796 65776676722 67592597245 81111116694 98665015083 131553353444 135185194490 162222233388 164441691805 197330030166 202777791735 270370388980 328883383610 394660060332 405555583470 493325075415 657766767220 811111166940 986650150830 1973300301660 2203518670187 4407037340374 6610556010561 8814074680748 11017593350935 13221112021122 22035186701870 26442224042244 33052780052805 44070373403740 66105560105610 132211120211220